| |
| |
Click the serial number on the left to view the details of the item. |
| # |
Author | Title | Accn# | Year | Item Type | Claims |
| 1 |
Tanaka, Hiro Lee |
Lectures on Factorization Homology, ???-Categories, and Topological Field Theories |
I09620 |
2020 |
eBook |
|
| 2 |
Ku??, Marek |
Category Theory in Physics, Mathematics, and Philosophy |
I08612 |
2019 |
eBook |
|
| 3 |
Coecke, Bob |
Current Research in Operational Quantum Logic |
I11348 |
2000 |
eBook |
|
| 4 |
Husem??ller, Dale |
Basic Bundle Theory and K-Cohomology Invariants |
I08348 |
2008 |
eBook |
|
| 5 |
Unterberger, J??r??mie |
The Schr??dinger-Virasoro Algebra |
I08215 |
2012 |
eBook |
|
| 6 |
Kapustin, Anton |
Homological Mirror Symmetry |
I07440 |
2009 |
eBook |
|
| 7 |
Coecke, Bob |
New Structures for Physics |
I07027 |
2011 |
eBook |
|
|
|
1.
  |
 |
| Title | Lectures on Factorization Homology, ???-Categories, and Topological Field Theories |
| Author(s) | Tanaka, Hiro Lee |
| Publication | Cham, Springer International Publishing, 2020. |
| Description | XII, 84 p. 13 illus., 2 illus. in color : online resource |
| Abstract Note | This book provides an informal and geodesic introduction to factorization homology, focusing on providing intuition through simple examples. Along the way, the reader is also introduced to modern ideas in homotopy theory and category theory, particularly as it relates to the use of infinity-categories. As with the original lectures, the text is meant to be a leisurely read suitable for advanced graduate students and interested researchers in topology and adjacent fields |
| ISBN,Price | 9783030611637 |
| Keyword(s) | 1. ALGEBRAIC TOPOLOGY
2. Category theory (Mathematics)
3. Category Theory, Homological Algebra
4. EBOOK
5. EBOOK - SPRINGER
6. Homological algebra
7. MATHEMATICAL PHYSICS
8. Theoretical, Mathematical and Computational Physics
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I09620 |
|
|
On Shelf |
|
|
|
|
2.
 |
|
| Title | Category Theory in Physics, Mathematics, and Philosophy |
| Author(s) | Ku??, Marek;Skowron, Bart??omiej |
| Publication | Cham, Springer International Publishing, 2019. |
| Description | XII, 134 p. 3 illus., 1 illus. in color : online resource |
| Abstract Note | The contributions gathered here demonstrate how categorical ontology can provide a basis for linking three important basic sciences: mathematics, physics, and philosophy. Category theory is a new formal ontology that shifts the main focus from objects to processes. The book approaches formal ontology in the original sense put forward by the philosopher Edmund Husserl, namely as a science that deals with entities that can be exemplified in all spheres and domains of reality. It is a dynamic, processual, and non-substantial ontology in which all entities can be treated as transformations, and in which objects are merely the sources and aims of these transformations. Thus, in a rather surprising way, when employed as a formal ontology, category theory can unite seemingly disparate disciplines in contemporary science and the humanities, such as physics, mathematics and philosophy, but also computer and complex systems science |
| ISBN,Price | 9783030308964 |
| Keyword(s) | 1. Category theory (Mathematics)
2. Category Theory, Homological Algebra
3. EBOOK
4. EBOOK - SPRINGER
5. Homological algebra
6. Mathematical Methods in Physics
7. MATHEMATICAL PHYSICS
8. Mathematics???Philosophy
9. PHILOSOPHY OF MATHEMATICS
10. PHYSICS
11. QUANTUM PHYSICS
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I08612 |
|
|
On Shelf |
|
|
|
|
|
3.
|
|
| Title | Current Research in Operational Quantum Logic : Algebras, Categories, Languages |
| Author(s) | Coecke, Bob;Moore, David;Wilce, Alexander |
| Publication | Dordrecht, Springer Netherlands, 2000. |
| Description | VII, 325 p : online resource |
| Abstract Note | The present volume has its origins in a pair of informal workshops held at the Free University of Brussels, in June of 1998 and May of 1999, named "Current Research 1 in Operational Quantum Logic". These brought together mathematicians and physicists working in operational quantum logic and related areas, as well as a number of interested philosophers of science, for a rare opportunity to discuss recent developments in this field. After some discussion, it was decided that, rather than producing a volume of conference proceedings, we would try to organize the conferees to produce a set of comprehensive survey papers, which would not only report on recent developments in quantum logic, but also provide a tutorial overview of the subject suitable for an interested non-specialist audience. The resulting volume provides an overview of the concepts and methods used in current research in quantum logic, viewed both as a branch of mathemati?? cal physics and as an area of pure mathematics. The first half of the book is concerned with the algebraic side of the subject, and in particular the theory of orthomodular lattices and posets, effect algebras, etc. In the second half of the book, special attention is given to categorical methods and to connections with theoretical computer science. At the 1999 workshop, we were fortunate to hear three excellent lectures by David J. Foulis, represented here by two contributions. Dave's work, spanning 40 years, has helped to define, and continues to reshape, the field of quantum logic |
| ISBN,Price | 9789401712019 |
| Keyword(s) | 1. ALGEBRA
2. Applications of Mathematics
3. APPLIED MATHEMATICS
4. Category theory (Mathematics)
5. Category Theory, Homological Algebra
6. EBOOK
7. EBOOK - SPRINGER
8. ENGINEERING MATHEMATICS
9. GROUP THEORY
10. Group Theory and Generalizations
11. Homological algebra
12. Order, Lattices, Ordered Algebraic Structures
13. Ordered algebraic structures
14. QUANTUM PHYSICS
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I11348 |
|
|
On Shelf |
|
|
|
|
|
4.
|
|
| Title | Basic Bundle Theory and K-Cohomology Invariants |
| Author(s) | Husem??ller, Dale;Joachim, Michael;Jurco, Branislav;Schottenloher, Martin |
| Publication | Berlin, Heidelberg, Springer Berlin Heidelberg, 2008. |
| Description | XV, 340 p : online resource |
| Abstract Note | Based on several recent courses given to mathematical physics students, this volume is an introduction to bundle theory with the aim to provide newcomers to the field with solid foundations in topological K-theory. A fundamental theme, emphasized in the book, centers around the gluing of local bundle data related to bundles into a global object. One renewed motivation for studying this subject, which has developed for almost 50 years in many directions, comes from quantum field theory, especially string theory, where topological invariants play an important role |
| ISBN,Price | 9783540749561 |
| Keyword(s) | 1. Category theory (Mathematics)
2. Category Theory, Homological Algebra
3. EBOOK
4. EBOOK - SPRINGER
5. Homological algebra
6. Mathematical Methods in Physics
7. PHYSICS
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I08348 |
|
|
On Shelf |
|
|
|
|
|
5.
|
|
| Title | The Schr??dinger-Virasoro Algebra : Mathematical structure and dynamical Schr??dinger symmetries |
| Author(s) | Unterberger, J??r??mie;Roger, Claude |
| Publication | Berlin, Heidelberg, Springer Berlin Heidelberg, 2012. |
| Description | XLII, 302 p : online resource |
| Abstract Note | This monograph provides the first up-to-date and self-contained presentation of a recently discovered mathematical structure???the Schr??dinger-Virasoro algebra. Just as Poincar?? invariance or conformal (Virasoro) invariance play a key role in understanding, respectively, elementary particles and two-dimensional equilibrium statistical physics, this algebra of non-relativistic conformal symmetries may be expected to apply itself naturally to the study of some models of non-equilibrium statistical physics, or more specifically in the context of recent developments related to the non-relativistic AdS/CFT correspondence. ?? The study of the structure of this infinite-dimensional Lie algebra touches upon topics as various as statistical physics, vertex algebras, Poisson geometry, integrable systems and supergeometry as well as representation theory, the cohomology of infinite-dimensional Lie algebras, and the spectral theory of Schr??dinger operators. |
| ISBN,Price | 9783642227172 |
| Keyword(s) | 1. Category theory (Mathematics)
2. Category Theory, Homological Algebra
3. COMPLEX SYSTEMS
4. DYNAMICAL SYSTEMS
5. EBOOK
6. EBOOK - SPRINGER
7. Homological algebra
8. LIE GROUPS
9. Mathematical Methods in Physics
10. MATHEMATICAL PHYSICS
11. PHYSICS
12. STATISTICAL PHYSICS
13. Statistical Physics and Dynamical Systems
14. TOPOLOGICAL GROUPS
15. Topological Groups, Lie Groups
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I08215 |
|
|
On Shelf |
|
|
|
|
|
6.
|
|
| Title | Homological Mirror Symmetry : New Developments and Perspectives |
| Author(s) | Kapustin, Anton;Kreuzer, Maximilian;Schlesinger, Karl-Georg |
| Publication | Berlin, Heidelberg, Springer Berlin Heidelberg, 2009. |
| Description | XI, 272 p : online resource |
| Abstract Note | Homological Mirror Symmetry, the study of dualities of certain quantum field theories in a mathematically rigorous form, has developed into a flourishing subject on its own over the past years. The present volume bridges a gap in the literature by providing a set of lectures and reviews that both introduce and representatively review the state-of-the art in the field from different perspectives. With contributions by K. Fukaya, M. Herbst, K. Hori, M. Huang, A. Kapustin, L. Katzarkov, A. Klemm, M. Kontsevich, D. Page, S. Quackenbush, E. Sharpe, P. Seidel, I. Smith and Y. Soibelman, this volume will be a reference on the topic for everyone starting to work or actively working on mathematical aspects of quantum field theory |
| ISBN,Price | 9783540680307 |
| Keyword(s) | 1. Category theory (Mathematics)
2. Category Theory, Homological Algebra
3. EBOOK
4. EBOOK - SPRINGER
5. Homological algebra
6. Mathematical Methods in Physics
7. PHYSICS
8. Quantum Field Theories, String Theory
9. QUANTUM FIELD THEORY
10. STRING THEORY
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I07440 |
|
|
On Shelf |
|
|
|
|
|
7.
| |
| Title | New Structures for Physics |
| Author(s) | Coecke, Bob |
| Publication | Berlin, Heidelberg, Springer Berlin Heidelberg, 2011. |
| Description | XVIII, 1031 p : online resource |
| Abstract Note | This volume provides a series of tutorials on mathematical structures which recently have gained prominence in physics, ranging from quantum foundations, via quantum information, to quantum gravity. These include the theory of monoidal categories and corresponding graphical calculi, Girard???s linear logic, Scott domains, lambda calculus and corresponding logics for typing, topos theory, and more general process structures. Most of these structures are very prominent in computer science; the chapters here are tailored towards an audience of physicists |
| ISBN,Price | 9783642128219 |
| Keyword(s) | 1. Category theory (Mathematics)
2. Category Theory, Homological Algebra
3. COMPUTERS
4. EBOOK
5. EBOOK - SPRINGER
6. Homological algebra
7. Mathematical Methods in Physics
8. PHYSICS
9. Theory of Computation
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I07027 |
|
|
On Shelf |
|
|
|
| |